| 一类带有阶段结构和时滞的Beddington-DeAngelis型食饵模型周期解的存在性 |
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| 引用本文： | 李华刚,钱靖.一类带有阶段结构和时滞的Beddington-DeAngelis型食饵模型周期解的存在性[J].湖北师范学院学报(自然科学版),2011,31(3):81-84. |
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| 作者姓名： | 李华刚 钱靖 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
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| 摘 要： | 主要研究一类对捕食者带有阶段结构和时滞的Beddington-DeAngelis型捕食者-食饵模型,证法上弱化了参考文献的条件.以时滞τ为分支参数,通过对它非负平衡点解的稳定性的研究,讨论了系统Hopf分支的产生,得到存在正周期解的充分性条件。
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| 关 键 词： | 阶段结构 Beddington-DeAngelis 稳定性 周期解 Hopf分支 |
Existence of periodic solution in a beddington-deAngelis predator-prey system with stage-structure and time delay |
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| LI Hua-gang,QIAN Jing.Existence of periodic solution in a beddington-deAngelis predator-prey system with stage-structure and time delay[J].Journal of Hubei Normal University(Natural Science),2011,31(3):81-84. |
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| Authors: | LI Hua-gang QIAN Jing |
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| Institution: | LI Hua-gang,QIAN Jing (College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | In this paper,we consider a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay.we weaken the conditions of references in the process of demonstration.with as bifurcation parameter,the stability of solution of non-negative equilibriums is investigated,and the conditions of system undergoing Hopf bifurcation are discussed,the sufficient conditions of the existence of positive periodic solution are obtained. |
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| Keywords: | stage-structure Beddington-DeAngelis stability periodic solution Hopf bifurcation |
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